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Finding the Fourth Proportional to 200,284.74, 276,423.30 and 114,243.30

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Solution

The fourth proportional to 200,284.74, 276,423.30 and 114,243.30 is: 157,673.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,284.74 : 276,423.30 = 114,243.30 : x
  2. Step 2: Convert to fraction form
    200,284.74/276,423.30 = 114,243.30/x
  3. Step 3: Cross multiply
    200,284.74x = 276,423.30 × 114,243.30
  4. Step 4: Simplify right side
    200,284.74x = 31,579,509,988.89
  5. Step 5: Solve for x
    x = 31,579,509,988.89/200,284.74
  6. Step 6: Final answer
    x = 157,673.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.